Ask HN: A noob question about exponential growth

[EUV071STR48]

Hi, I just wrote a reply to another comment and wrote something like: "I hope you have an above-average day today"

My question:

If every day from now on is an 'above-average day', would you call this an exponential growth?

Over all speaking, I'm aware that this would not be a 'continous graph'.

Edit:

5 min after posting. It's more like a log-function, isn't it

[garlicrouted]

If you truly had a week of above average days, by the end of it you'd probably be threatening to put the local KGB recruiter's head through a Starbucks window.

(Maybe be happy if they do a little art thing in your cortado rather than overanalyze. every. little. thing.)

[jjgreen]

Worse than that, it could be bounded above. If your day's value is 1 - 1 / n (where n is the number of the day in your life) then every day is above the average of the previous days (since bigger than the largest, yesterday) but will never be bigger than 1.

[EUV071STR48]

Thanks, that's about what I suspected right after posting ('something like log-function'). But does it have to be?

The more I think about it, there's quite a wide range of data sets I can create from my initial rule. The daily increase is not limited, so it should be possible to create almost every kind of graph, as long as it increases. Truely a noob question I came up with, if I don't overlook something again...

[junkerm]

It could be even constant except for day 0. value = 0 for day 0, value=1 for all other days.